机电工程技术2024，Vol.53Issue(8)：191-196,6.DOI:10.3969/j.issn.1009-9492.2024.08.041
一种具有超级多稳态的忆阻混沌系统及其在电力图像加密中的应用
A Memristive Chaotic System with Extreme Multistability and Its Application in Power Image Encryption
摘要
Abstract
It is an interrelated and independent research direction for the construction of chaotic systems and image encryption,and also the current research hotspot of chaotic systems.A new memristive chaotic system is constructed by introducing an absolute value memristor into the Sprott-I chaotic system.Affected by strong nonlinearity of the memristor,the equilibrium points of the new system become a line equilibrium set,showing richer dynamic characteristics.The dynamic characteristics of the system,such as Lyapunov exponent,dissipation and bifurcation diagram,are analyzed by MATLAB simulation.The results show that the new system can not only produce the conventional phenomena of chaotic attractors and periodic limit cycles depending on the change of system parameters,but also produce the special dynamic phenomena of constant Lyapunov exponent,bifurcation diagram shift depending on the change of initial conditions and super multi-stable state with infinite attractors.Finally,considering the super multi-stability phenomenon of the system after the introduction of the memristor,it can generate more robust pseudo-random sequences.Therefore,the system and DNA coding are introduced into the power image encryption.The security analysis experimental results on the MATLAB platform show that the algorithm has a good encryption effect.关键词
超级多稳态/恒Lyapunov指数/平衡点稳定性/忆阻混沌系统/图像加密Key words
extreme multistability/constant Lyapunov exponent/equilibrium stability/memristive chaotic system/image encryption分类
信息技术与安全科学引用本文复制引用
邓迎军,荣海媚,周钦君,孙智鹏,张博..一种具有超级多稳态的忆阻混沌系统及其在电力图像加密中的应用[J].机电工程技术,2024,53(8):191-196,6.基金项目
国网荆州供电公司科技计划项目(B715J0230019) （B715J0230019）
